Download presentation

Presentation is loading. Please wait.

Published byGabrielle Steverson Modified over 2 years ago

1
1 College Algebra K/DC Wednesday, 03 December 2014 OBJECTIVE TSW solve and graph the solutions to linear inequalities, three-part inequalities, quadratic inequalities, and rational inequalities. ASSIGNMENT DUE –Sec. 1.6: p. 143 (7-12 all, 15-25 odd, 35-42 all, 44-52 even) wire basket

2
1-2 Inequalities 1.7 Linear Inequalities ▪ Three-Part Inequalities

3
1-3 Subtract 7. Divide by –2. Reverse the direction of the inequality symbol when multiplying or dividing by a negative number ! ! Solution set: Solving a Linear Inequality Havens’ Preference Use interval notation. Solve & graph:

4
1-4 Solving a Linear Inequality Subtract 8. Add 4x. Divide by 6. Solution set: Write the solution set in interval notation and graph it. Solve & graph:

5
1-5 Using Brackets vs. Parentheses With a strict inequality: Use parentheses. Ex:x > 4 ½ > x With an inequality that includes equals, use a bracket. Ex:x ≤ 9 x ≥ –1 “Infinity” and “Negative Infinity” ALWAYS get parentheses!!!

6
1-6 Interval Notation Always write the ends in numerical order. Ex:x < –9 (–∞, –9) not (–9, –∞) Ex:8 ≤ x[8, ∞) not (∞, 8] Make sure your brackets look like brackets and not squared- off parentheses! Make sure your parentheses look like parentheses and not rounded-off brackets! BOTTOM LINE: Write your answers neatly!

7
1-7 Solving a Three-Part Inequality Add 8 to all three parts. Divide by 6. Write the solution set in interval notation and graph it. Solution set: Solve & graph:

8
1-8 Assignment: Sec. 1.7: p. 155 (13-33 odd) Due before you go to lunch today (black tray). Solve each inequality. Write each solution set in interval notation and graph.

9
1-9 Inequalities 1.7 Quadratic Inequalities ▪ Rational Inequalities

10
1-10 Solving a Quadratic Inequality Solve. Step 1: Find the values of x that satisfy. or Step 2: The two numbers divide a number line into three regions. Use closed dots since the inequality symbol includes equality.

11
1-11 Solving a Quadratic Inequality Solve. Step 3: Choose any value in each of the intervals and find the sign of in each of the intervals. –46 0 +–+

12
1-12 Solving a Quadratic Inequality Solve. –46 0 +–+ Step 4: Since (negative), the solution is the interval that makes negative. Solution set: [–3, 5]

13
1-13 Solving Quadratic Inequalities Solve and graph each of the following: a) b)

14
1-14 Solving Rational Inequalities Solve and graph each of the following: d) e) f)

15
Assignment: Sec. 1.7: pp. 155-156 (39-44 all, 69-71 all, 73- 77 odd, 78) Due on Wednesday, 10 December 2014 (TEST day). Solve each inequality. Write each solution in interval notation.

Similar presentations

OK

Lesson 6-2 Objective: Solve inequalities using multiplication or division.

Lesson 6-2 Objective: Solve inequalities using multiplication or division.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on review of literature definition Ppt on various social problems in india Ppt on wild animals and their homes Ppt on event driven programming compared Strategic management ppt on nestle Ppt on endangered and endemic species in india Ppt on thermal conductivity of insulating powder coating Ppt on models of atoms Ppt on smart card security Ppt on packaged drinking water